Title: New generalised mixed vector variational-like inequalities with semi-η-pseudomonotonicity

Authors: Prashanta Majee; Chandal Nahak

Addresses: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, India ' Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, India

Abstract: In this paper, we introduce the concept of semi-η-pseudomonotonicity for vector set-valued mappings. Using this concept, and utilising KKM technique and Nadler's Lemma, we establish some existence results for the new generalised mixed vector variational-like inequality problem in reflexive Banach spaces. Our results are the extension and improvement of some of the results given by Plubtieng and Thammathiwat (2014). Few examples are given to justify our new findings.

Keywords: semi-η-pseudomonotonicity; new generalised mixed vector variational-like inequalities; Fan-KKM theorem; Nadler's result.

DOI: 10.1504/IJMOR.2018.092963

International Journal of Mathematics in Operational Research, 2018 Vol.13 No.1, pp.79 - 90

Received: 10 Aug 2016
Accepted: 25 Nov 2016
Published online: 04 Jul 2018 *

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